ANSWER
![sin^(-1)(0.61)=37.6\degree](https://img.qammunity.org/2020/formulas/physics/high-school/i7lcqv98i34mfxicip4kr9o4h9bvnpddkc.png)
Step-by-step explanation
We want to find
![sin^(-1)(0.61)](https://img.qammunity.org/2020/formulas/physics/high-school/uq7p4lrb7v99agxplrpt69q8e6ahy2pycw.png)
We can use at least a scientific calculator to find the value of the given expression.
The sine inverse function is a secondary function.
So you press SHIFT then press Sin
to access the sine inverse function and then type 0.61 in it.
Close the parenthesis and press "="
This will give you the value.
![sin^(-1)(0.61)=37.5895](https://img.qammunity.org/2020/formulas/physics/high-school/qb2rcyzbtv62d4afrilpq44y7epi89sbre.png)
We round to the nearest tenth to get,
![sin^(-1)(0.61)=37.6\degree](https://img.qammunity.org/2020/formulas/physics/high-school/i7lcqv98i34mfxicip4kr9o4h9bvnpddkc.png)